# An inversion of the obstacle problem and its explicit solution

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

- Volume: 6, Issue: 4, page 561-571
- ISSN: 0391-173X

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topLewy, Hans. "An inversion of the obstacle problem and its explicit solution." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 561-571. <http://eudml.org/doc/83820>.

@article{Lewy1979,

author = {Lewy, Hans},

journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},

keywords = {inverse problems; obstacle problem; determination of the coincidence set; Dirichlet integral; conductor potential; boundary},

language = {eng},

number = {4},

pages = {561-571},

publisher = {Scuola normale superiore},

title = {An inversion of the obstacle problem and its explicit solution},

url = {http://eudml.org/doc/83820},

volume = {6},

year = {1979},

}

TY - JOUR

AU - Lewy, Hans

TI - An inversion of the obstacle problem and its explicit solution

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

PY - 1979

PB - Scuola normale superiore

VL - 6

IS - 4

SP - 561

EP - 571

LA - eng

KW - inverse problems; obstacle problem; determination of the coincidence set; Dirichlet integral; conductor potential; boundary

UR - http://eudml.org/doc/83820

ER -

## References

top- [1] L.A. Caffarelli, The regularity of free boundaries in higher dimensions, Acta Math., 139 (1977), pp. 155-184. Zbl0386.35046MR454350
- [2] D. Kinderlehrer, The coincidence set of solutions of certain variational inequalities, Arch. Rational Mech. Anal., 40 (1971), pp. 231-250. Zbl0219.49014MR271799
- [3] H. Lewy - G. Stampacchia, On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math., 22 (1969), pp. 153-188. Zbl0167.11501MR247551
- [4] D.G. Schaeffer, A stability theorem for the obstacle problem, Advances in Math., 17 (1975), pp. 34-47. Zbl0317.49013MR380093

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